Implementation of the new minimum resultant error approach to extract elastic-plastic properties of titanium nitride thin film by nanoindentation, finite element analysis, and modified dimensional analysis

2020 ◽  
Vol 234 (16) ◽  
pp. 3280-3296 ◽  
Author(s):  
E Bazzaz ◽  
A Darvizeh ◽  
M Alitavoli ◽  
M Yarmohammad Tooski
Keyword(s):  
Thin Film ◽  
Strain Hardening ◽  
Dimensional Analysis ◽  
Strain Hardening Exponent ◽  
Analysis Method ◽  
Plastic Properties ◽  
Resultant Error ◽  
Main Challenge ◽  
Dimensional Analysis Method ◽  
Error Method

Obtaining the plastic properties of thin film coatings has been the main challenge for decades. Implementing the hybrid methods seems to be an applicable way to address this issue. Unfortunately, limitations of nonunique answers together with the need for enormous amount of calculations are counted as the main challenges. To overcome such difficulties, a modified dimensional analysis method is proposed, which is able to reduce the number of dimensionless parameters. Another novel algorithm named “minimum resultant error method” is developed to provide proper criteria to investigate the compliance of the analytical results with empirical data. With this algorithm, yield stress, strain hardening exponent, and strain hardening coefficient are extracted as unique values by using a single indenter nanoindentation results. The simulation results are processed with combined modified dimensional analysis method and minimum resultant error method algorithms. The effects of interlayer, friction coefficient, and indenter tip radius are investigated. Error analysis to the modulus of elasticity is undertaken and the results show less than 2% error for the infimum point, while the individual dimensionless functions errors are below 3.4%. According to the results, this new approach is well-coped with the earlier studies.

scholarly journals THE ABILITY TO CLINCHING AS A FUNCTION OF MATERIAL HARDENING BEHAVIOR

2018 ◽  
Vol 24 (1) ◽  
pp. 58
Author(s):  
Tadeusz Balawender
Keyword(s):  
Strain Hardening ◽  
Strength Properties ◽  
Strain Hardening Exponent ◽  
Special Importance ◽  
Metallic Materials ◽  
Forming Process ◽  
Plastic Properties ◽  
Plastic Materials ◽  
Mechanical Clinching ◽  
Induced Defects

<p><span lang="EN-GB">Mechanical clinching can be used to joining different metallic materials. The only restriction are their plastic properties. However some plastic materials, with good ductility, do not conform strong clinch joint, e.g. materials, featured by high strain hardening phenomena are difficult to clinching and do not create durable clinch joint. In case of others materials with limited ductility clinch forming generates the process-induced defects such as cracks. So, there are material’s features which are very important for the clinch forming process and among them the strain hardening properties seem to be in special importance.</span></p><p><span lang="EN-GB"><span>                </span>The clinch joints of different materials with diversified plastic and strength properties<span>  </span>were tested. A single overlap clinch joints with one clinch bulge were realized in the tests. The joints were tested in the pull test. The obtained results showed the relation of the clinch joinability to the materials’ strain hardening exponent. The good quality and good strength joints, were obtained for materials with low value of strain hardening<span>  </span>exponent below n = 0,22.</span></p>

Characterization of Mechanical Properties of Thin Films by Nanoindentation Technique and Finite Element Simulation

2002 ◽  
Author(s):  
Zhaohui Shan ◽  
Suresh K. Sitaraman
Keyword(s):  
Thin Film ◽  
Thin Films ◽  
Mechanical Properties ◽  
Finite Element ◽  
Strain Hardening Exponent ◽  
Plastic Properties ◽  
Titanium Thin Film ◽  
Nanoindentation Technique ◽  
Element Simulation ◽  
Titanium Thin Films

Titanium thin films have been widely used in microelectronics due to their good adhesion to substrates, such as Silicon wafer and Quartz. However, mechanical behavior of Titanium thin films has not been well characterized. This paper presents a methodology that combines the nanoindentation technique and finite element modeling to characterize the mechanical (elastic and plastic) properties of thin film with its application on Titanium thin film deposited on silicon substrate. The results show that the elastic properties (Young’s modulus) of the Titanium thin film does not change much from the bulk Titanium, and the plastic properties (yield stress and strain hardening exponent) of the Titanium thin film are higher than those of bulk Titanium. This method is also applicable for the study of mechanical properties of other thin films and small volume materials.

scholarly journals Dimensional Analysis of Average Diameter of Bubbles for Bottom Blown Oxygen Copper Furnace

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Dongxing Wang ◽  
Yan Liu ◽  
Zimu Zhang ◽  
Pin Shao ◽  
Ting’an Zhang
Keyword(s):  
Dimensional Analysis ◽  
High Speed ◽  
Cold Water ◽  
Average Diameter ◽  
Water Model ◽  
Smelting Process ◽  
Analysis Method ◽  
Dimensional Analysis Method ◽  
Principle Of Similarity ◽  
Matte Smelting

Average diameter of bubbles is important in copper furnace. Based on the principle of similarity, a slice water model of a furnace with bottom-blown oxygen in matte-smelting process was established. A high-speed camera was used to record images continuously and clearer pictures were selected for treatment. Finally, image processing software was used for obtaining the average diameter of the bubbles. The effects of different injection conditions and equipment factors such as the diameter of nozzle, the nozzle installing angle, and gas velocity on the average diameter of bubbles were studied with cold water model experiment, exploring the dispersion and disintegration rules of bubbles. According to experimental data and Buckingham’s theorem, by using dimensional analysis method, an empirical formula on average diameter of bubbles was established (dB=0.41666d0.29374θ-0.46572v-0.16725). It can be seen from the formula that nozzle installing angle and diameter of nozzle make the most impact on the average diameter of bubbles in bottom blown oxygen copper furnace.

Study on Optimum Product Portfolio of Coach Board for Metallurgical Enterprise Based on Four-Dimensional Analysis Method

2010 ◽  
Vol 148-149 ◽  
pp. 702-706
Author(s):  
Liang Han ◽  
Rong Du
Keyword(s):  
Growth Rate ◽  
Dimensional Analysis ◽  
Market Share ◽  
Matrix Method ◽  
Three Dimensional ◽  
Product Portfolio ◽  
Sales Growth ◽  
Analysis Method ◽  
Metallurgical Enterprise ◽  
Dimensional Analysis Method

The paper analyzes the application of traditional Boston matrix method and three dimensional analysis chart method on product portfolio of metallurgical enterprise, and raises a four dimensional analysis method by inheriting their advantages and improve disadvantages. It is more effectively and practically to establish optimum product portfolio of domestic metallurgical enterprise by the four dimensional analysis method and the four elements are market share, sales growth rate, profitability and sales efficiency. When metallurgical enterprises analyze the optimum product portfolio using four dimensional analysis method, they should take sales efficiency fully into account, adjust product portfolio timely and at last realize the optimum product portfolio.

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